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Dynamics of a spin-exchange model

Author

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  • Lebowitz, Joel L.
  • Neuhauser, Claudia
  • Ravishankar, Krishnamurthi

Abstract

We study a model on the non-negative half line +0, {0, 1, 2, ...} in which particles created at the origin at rate 1 jump to the right at rate 1. If a particle jumps onto an already occupied site the two particles annihilate each other. In addition, whenever a particle jumps its closest neighbor to the right jumps along with it. We find that the spatial decay rate of the particle density in the stationary state is of order 1/[radical sign]x at distance x from the origin. This model provides an approximation to the dynamics of an anchored Toom interface which can be represented as a spin-exchange model.

Suggested Citation

  • Lebowitz, Joel L. & Neuhauser, Claudia & Ravishankar, Krishnamurthi, 1996. "Dynamics of a spin-exchange model," Stochastic Processes and their Applications, Elsevier, vol. 64(2), pages 187-208, November.
    • Handle: RePEc:eee:spapps:v:64:y:1996:i:2:p:187-208
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    Cited by:

    1. Mikhailov, Alexander S., 1999. "Nonlinear phenomena in heterogeneous catalysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 263(1), pages 329-337.

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